The dimensions of an examination room are 32 feet by 27 feet. If distance between chairs should be 4 feet in all directions and the size of each chair is 2 X 2 square feet, then the maximum number of chairs placed in the room is(Note: The distance from each wall is not necessarily 4 feet)

Explanation

Let's break this down step by step:1. Room dimensions: 32 feet x 27 feet2. Distance between chairs: 4 feet (in all directions)3. Chair size: 2 feet x 2 feet (square)First, let's find the total available floor space:32 feet x 27 feet = 864 square feetSince each chair occupies a 2x2 square feet area, the total area occupied by one chair is:2 feet x 2 feet = 4 square feetNow, let's calculate the maximum number of chairs that can fit in the room:864 square feet (available floor space) ÷ 4 square feet (area per chair) = 216 chairsHowever, we need to subtract the areas occupied by the "corridors" between chairs, which are 4 feet wide. Let's calculate the total area of these corridors:- Lengthwise corridors (32 feet long): 32 feet x 4 feet = 128 square feet- Widthwise corridors (27 feet wide): 27 feet x 4 feet = 108 square feetTotal corridor area: 128 + 108 = 236 square feetNow, subtract this area from the total available floor space:864 square feet - 236 square feet = 628 square feetFinally, divide the remaining area by the area per chair:628 square feet ÷ 4 square feet (area per chair) = 157 chairsSo, the maximum number of chairs that can be placed in the room is 157.